GCD of 515, 785, 660, 680 Calculator

Given Input numbers are 515, 785, 660, 680

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 515

List of positive integer divisors of 515 that divides 515 without a remainder.

1, 5, 103, 515

Divisors of 785

List of positive integer divisors of 785 that divides 785 without a remainder.

1, 5, 157, 785

Divisors of 660

List of positive integer divisors of 660 that divides 660 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 680

List of positive integer divisors of 680 that divides 680 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Greatest Common Divisior

We found the divisors of 515, 785, 660, 680 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 515, 785, 660, 680 is 5.

Therefore, GCD of numbers 515, 785, 660, 680 is 5

Given Input Data is 515, 785, 660, 680

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 515 is 5 x 103

Prime Factorization of 785 is 5 x 157

Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11

Prime Factorization of 680 is 2 x 2 x 2 x 5 x 17

Highest common occurrences in the given inputs are 5¹

Multiplying them we get the GCD as 5

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(515, 785) = 80855

GCD(515, 785) = ( 515 x 785 ) / 80855

GCD(515, 785) = 404275 / 80855

GCD(515, 785) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 660

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(5, 660) = 660

GCD(5, 660) = ( 5 x 660 ) / 660

GCD(5, 660) = 3300 / 660

GCD(5, 660) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 680

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(5, 680) = 680

GCD(5, 680) = ( 5 x 680 ) / 680

GCD(5, 680) = 3400 / 680

GCD(5, 680) = 5

GCD of 515, 785, 660, 680 is 5

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1. What is the GCD of 515, 785, 660, 680?

GCD of 515, 785, 660, 680 is 5

2. Where do I get the detailed procedure to find GCD of 515, 785, 660, 680?

You can find a detailed procedure to find GCD of 515, 785, 660, 680 on our page.

3. How to find GCD of 515, 785, 660, 680 on a calculator?

You can find the GCD of 515, 785, 660, 680 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.